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Finding the Third Proportional to 38,029.50 and 80,973

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Solution

The third proportional to 38,029.50 and 80,973 is: 172,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,029.50 : 80,973 = 80,973 : x
  2. Step 2: Convert to fraction form
    38,029.50/80,973 = 80,973/x
  3. Step 3: Cross multiply
    38,029.50x = 80,973 × 80,973
  4. Step 4: Simplify right side
    38,029.50x = 6,556,626,729
  5. Step 5: Solve for x
    x = 6,556,626,729/38,029.50
  6. Step 6: Final answer
    x = 172,408.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.